Keywords: ماتریس های عملیاتی; System of fractional differential equations; Discontinuous piecewise polynomial spaces; Operational matrices; Mittag-Leffler function; Collocation methods; Diffusion equations; 34A08; 41A50;
مقالات ISI ماتریس های عملیاتی (ترجمه نشده)
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Keywords: ماتریس های عملیاتی; Telegraph equation; Spectral collocation method; Hermite polynomials; Operational matrices; LU factorization;
Keywords: ماتریس های عملیاتی; Ship rolling motion; Nonlinear equation; Damping; Legendre wavelet method; Operational matrices;
Keywords: ماتریس های عملیاتی; Fractional vibration equation; Legendre scaling functions; Operational matrices; Error analysis; Convergence analysis;
Keywords: ماتریس های عملیاتی; One-dimensional parabolic equation; Nonlocal boundary conditions; Taylor approximation; Operational matrices; Krylov subspace iterative methods; Restarted GMRES65M70; 35R10; 41A58
Keywords: ماتریس های عملیاتی; Vibrating circular membrane; Damped spring mass system; Ship oscillatory motion; Chebyshev wavelets; Operational matrices; Nonlinear equation;
Keywords: ماتریس های عملیاتی; Fractional telegraph equation; Hybrid functions; Fractional calculus; Operational matrices;
Keywords: ماتریس های عملیاتی; Shifted orthonormal Bernstein polynomials (SOBPs); Operational matrices; Pantograph equations; Condition numbers; Error analysis
Keywords: ماتریس های عملیاتی; Water quality model; Uniform channel; Convection-diffusion equation; Shifted second kind Chebyshev polynomials; Wavelets; Operational matrices;
Keywords: ماتریس های عملیاتی; Nonlinear mixed Volterra–Fredholm integral equations; Block-pulse functions; Operational matrices; Orthogonal functions; Numerical solution
Keywords: ماتریس های عملیاتی; Two-dimensional Legendre wavelets; Operational matrices; Fractional partial differential equations;
Keywords: ماتریس های عملیاتی; Homotopy analysis method; Operational matrices; Chebyshev Tau method;
Numerical research of nonlinear system of fractional Volterra-Fredholm integral-differential equations via Block-Pulse functions and error analysis
Keywords: ماتریس های عملیاتی; Block-Pulse functions; Volterra-Fredholm integral-differential equations; Numerical solutions; Operational matrices; Error analysis;
Application of Bernoulli matrix method for solving two-dimensional hyperbolic telegraph equations with Dirichlet boundary conditions
Keywords: ماتریس های عملیاتی; Two-dimensional telegraph equations; Bernoulli polynomials; Operational matrices; Bernoulli matrix method; Accuracy of the method; Error estimation;
CAS Picard method for fractional nonlinear differential equation
Keywords: ماتریس های عملیاتی; Fractional differential equations; CAS wavelet; Operational matrices; Picard technique;
Numerical solution of Volterra–Fredholm integral equations via modification of hat functions
Keywords: ماتریس های عملیاتی; 45D05; 45B05; 45G10; 65D30Volterra–Fredholm integral equations; Modified hat functions; Vector forms; Operational matrices; Error analysis
Wavelets method for solving fractional optimal control problems
Keywords: ماتریس های عملیاتی; Fractional optimal control problems; Legendre wavelets (LWs); Hat functions (HFs); Operational matrices; Lagrange multipliers method
Haar wavelet Picard method for fractional nonlinear partial differential equations
Keywords: ماتریس های عملیاتی; Fractional differential equations; Haar wavelet; Operational matrices; Picard iteration
Tau method for the numerical solution of a fuzzy fractional kinetic model and its application to the oil palm frond as a promising source of xylose
Keywords: ماتریس های عملیاتی; Fuzzy differential equations; Caputo fractional derivatives; Spectral tau method; Laguerre polynomials; Operational matrices
Dirac’s formalism combined with complex Fourier operational matrices to solve initial and boundary value problems
Keywords: ماتریس های عملیاتی; Bracket formalism; Fourier series; Hilbert space; Operational matrices
A collocation technique for solving nonlinear Stochastic Itô-Volterra integral equations
Keywords: ماتریس های عملیاتی; Delta functions; Stochastic; Operational matrices; Collocation; Vector forms; Error analysis;
A Taylor series method for the solution of the linear initial–boundary-value problems for partial differential equations
Keywords: ماتریس های عملیاتی; Taylor series; Operational matrices; Initial–boundary-value problems; Solution of partial differential equations
On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
Keywords: ماتریس های عملیاتی; Fractional differential equation; Bagley Torvik equation; Haar wavelets; Operational matrices
A numerical method for solving boundary value problems for fractional differential equations
Keywords: ماتریس های عملیاتی; Fractional differential equations; Operational matrices; Wavelets; Boundary value problems
Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials
Keywords: ماتریس های عملیاتی; Age-structure population model; Bernstein polynomials; Operational matrices; Mathematical biology
Transfer function identification from impulse response via a new set of orthogonal hybrid functions (HF)
Keywords: ماتریس های عملیاتی; Sample-and-hold functions; Triangular functions; Hybrid functions; Function approximation; Operational matrices; Identification
Approximation, integration and differentiation of time functions using a set of orthogonal hybrid functions (HF) and their application to solution of first order differential equations
Keywords: ماتریس های عملیاتی; Hybrid functions; Function approximation; Operational matrices; Differential equation
Numerical solution of third order linear differential equations using generalized one-shot operational matrices in orthogonal hybrid function domain
Keywords: ماتریس های عملیاتی; Sample-and-hold functions; Triangular functions; Hybrid functions; Function approximation; Operational matrices; Differential equation;
Application of Taylor series in obtaining the orthogonal operational matrix
Keywords: ماتریس های عملیاتی; Operational matrices; Jacobi orthogonal polynomials; Rational Jacobi functions; Taylor series; Orthogonal expansion; Spectral methods
The Legendre wavelet method for solving fractional differential equations
Keywords: ماتریس های عملیاتی; Fractional differential equations; Operational matrices; Legendre wavelets
The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass
Keywords: ماتریس های عملیاتی; One-dimensional parabolic equation; Nonlocal boundary conditions; Bernstein basis; Operational matrices; Specification of mass; Integral condition
PIλDμPIλDμ controller design for integer and fractional plants using piecewise orthogonal functions
Keywords: ماتریس های عملیاتی; 87.19.lrFractional systems; PIλDμPIλDμ controller; Orthogonal functions; Operational matrices; Optimization
Convergence of approximate solution of nonlinear Fredholm–Hammerstein integral equations
Keywords: ماتریس های عملیاتی; 02.30.Rz; 02.30.Tb; 02.10.Yn; 02.30.VvNonlinear Fredholm–Hammerstein integral equations; Operational matrices; Cubic B-spline wavelets
Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices
Keywords: ماتریس های عملیاتی; Singular Volterra integral equations; System of convolution type; Piecewise constant orthogonal functions; Operational matrices; Laplace transforms; Inversion of Laplace transform
Using triangular orthogonal functions for solving Fredholm integral equations of the second kind
Keywords: ماتریس های عملیاتی; Fredholm integral equation; Triangular functions; Operational matrices; Orthogonal functions
Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions
Keywords: ماتریس های عملیاتی; Volterra integral equation; Volterra integro-differential equation; Weakly singular integral equations; Abel integral equations; Piecewise constant orthogonal functions; Operational matrices; Laplace transforms; Inversion of Laplace transform
Using direct method for solving variational problems via triangular orthogonal functions
Keywords: ماتریس های عملیاتی; Variational problems; Direct method; Triangular functions; Operational matrices; Orthogonal functions
A new set of orthogonal functions and its application to the analysis of dynamic systems
Keywords: ماتریس های عملیاتی; Orthogonal functions; Triangular functions; Operational matrices; Dynamic systems; Error analysis;